DelMonte, Guidubaldo
,
Mechanicorvm Liber
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141 - 150
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N1043F
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036/01/018.jpg
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<
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">LEMMA. </
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<
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">Sit linea AB horizonti perpendicularis, & dia
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metro AB circulus deſcribatur AEBD, cuius
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centrum C. </
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<
s
id
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">Dico punctum B infimum eſſe lo
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lb
/>
cum circumferentiæ circuli AEBD; punctum
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verò A ſublimiorem; & quælibet puncta, vt DE
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æqualiter à puncto A diſtantia æqualiter eſſe
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deorſum; quæ verò propius ſunt ipſi A eis, quæ
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magis diſtant, ſublimiora eſſe. </
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>
</
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<
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<
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">Producatur AB vſq; ad mundi cen
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trum, quod ſit F; deinde in circuli circum
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ferentia quoduis accipiatur punctum G;
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connectanturq; FG FD FE. </
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>
<
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">Quoniam
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n. BF minima eſt omnium, quæ à puncto
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F ad circumferentiam AEBD ducun
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tur; erit BF ipſa FG minor. </
s
>
<
s
id
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">quare punctum
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B propius erit puncto F, quàm G. </
s
>
<
s
id
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id.2.1.1.39.1.3.0.a
">hacq;
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lb
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ratione oſtendetur punctum B quouis alio
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puncto circumferentiæ circuli AEDB
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mundi centro propius eſſe. </
s
>
<
s
id
="
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">erit igitur pun
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lb
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ctum B circumferentiæ circuli AEBD
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infimus locus. </
s
>
<
s
id
="
id.2.1.1.39.1.5.0
">Deinde quoniam AF per
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lb
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centrum ducta maior eſt ipſa GF; erit
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punctum A non
<
expan
abbr
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ſolũ
">ſolum</
expan
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ipſo G, verum etiam
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lb
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quouis alio puncto circumferentiæ circuli
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lb
/>
AEBD ſublimius. </
s
>
<
s
id
="
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">Præterea quoniam DF
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lb
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FE ſunt æquales; puncta DE æqualiter
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mundi centro diſtabunt. </
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<
s
id
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id.2.1.1.39.1.7.0
">& cum DF maior ſit FG; erit pun
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lb
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ctum D ipſi A propius puncto G ſublimius. </
s
>
<
s
id
="
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">quæ omnia demon
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ſtrare oportebat. </
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8.
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Tertil.
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